Question

A billiard ball is hit by a cue at a height h above the center. It acquired linear velocity v0. Mass of ball is m and radius r

Answer 1

Given:

The height given is h

The linear velocity is v₀

Mass of ball is given m

Radius of billiard ball r

To find:

To get the relation of these in terms of angular frequency w

Solution:

The effective force and height h relation is given as

F . h=$\frac{2}{5}$mr² . $\frac{w}{t}$

m . ah=$\frac{2}{5} mr$²$\frac{w}{t}$

m . $v_{o\frac{t} }$$\frac{h}{t}$=$\frac{2mr^{2}w }{5t}$

w=$\frac{5v_{0}h }{2r^{2} }$

The result of the angular frequency is w= $\frac{5v_{0}h }{2r^{2} }$